Topologically protected zero modes in twisted bilayer graphene

被引：119

作者：

de Gail, R. ^{[1
]}

Goerbig, M. O. ^{[1
]}

Guinea, F. ^{[2
]}

Montambaux, G. ^{[1
]}

Castro Neto, A. H. ^{[3
,4
,5
]}

机构：

[1] Univ Paris 11, CNRS, UMR 8502, Phys Solides Lab, F-91405 Orsay, France

[2] CSIC, Inst Ciencia Mat Madrid, E-28049 Madrid, Spain

[3] Natl Univ Singapore, Graphene Res Ctr, Singapore 117541, Singapore

[4] Natl Univ Singapore, Dept Phys, Singapore 117541, Singapore

[5] Boston Univ, Dept Phys, Boston, MA 02215 USA

来源：

PHYSICAL REVIEW B | 2011年 / 84卷 / 04期

关键词：

SCANNING-TUNNELING-MICROSCOPY; GRAPHITE;

D O I：

10.1103/PhysRevB.84.045436

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

We show that a twisted graphene bilayer can reveal unusual topological properties at low energies, as a consequence of a Dirac-point splitting. These features rely on a symmetry analysis of the electron hopping between the two layers of graphene and we derive a simplified effective low-energy Hamiltonian which captures the essential topological properties of a twisted graphene bilayer. The corresponding Landau levels peculiarly reveal a degenerate zero-energy mode which cannot be lifted by strong magnetic fields.

引用

页数：5

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